Proof Theory - Logics From Proof Analysis

Logics From Proof Analysis

Several important logics have come from insights into logical structure arising in structural proof theory.

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Famous quotes containing the words logics, proof and/or analysis:

    When logics die,
    The secret of the soil grows through the eye,
    And blood jumps in the sun;
    Above the waste allotments the dawn halts.
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    He who has never failed somewhere, that man can not be great. Failure is the true test of greatness. And if it be said, that continual success is a proof that a man wisely knows his powers,—it is only to be added, that, in that case, he knows them to be small.
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    The spider-mind acquires a faculty of memory, and, with it, a singular skill of analysis and synthesis, taking apart and putting together in different relations the meshes of its trap. Man had in the beginning no power of analysis or synthesis approaching that of the spider, or even of the honey-bee; but he had acute sensibility to the higher forces.
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